x^2-14x+49=-33

Solution for x^2-14x+49=-33 equation:

Simplifying
x2 + -14x + 49 = -33

Reorder the terms:
49 + -14x + x2 = -33

Solving
49 + -14x + x2 = -33

Solving for variable 'x'.

Reorder the terms:
49 + 33 + -14x + x2 = -33 + 33

Combine like terms: 49 + 33 = 82
82 + -14x + x2 = -33 + 33

Combine like terms: -33 + 33 = 0
82 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -14x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -14x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -14x + x2 = 0 + -82
-14x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-14x + x2 = -82

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -82 + 49

Reorder the terms:
49 + -14x + x2 = -82 + 49

Combine like terms: -82 + 49 = -33
49 + -14x + x2 = -33

Factor a perfect square on the left side:
(x + -7)(x + -7) = -33

Can't calculate square root of the right side.

The solution to this equation could not be determined.